The local computing model is described as follows.
Since only \(d_{ij}\)  bits are offloaded to the BS, the remaining \(R_{ij}-d_{ij}\)  bits are needed to be computed locally at user \(j\)  in group \(i\) .
Based on the local computing model in [1]}, the total energy consumption for local computation at user \(j\)  in group \(i\)  is given by
\(E_{ij}^{\text{Loc}} = (R_{ij}-d_{ij}) C_{ij}P_{ij}, \quad \forall i\in \mathcal {N}, j=1,2,\) 
